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Finding the Fourth Proportional to 300,709.52, 414,739.68 and 193,290.56

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Solution

The fourth proportional to 300,709.52, 414,739.68 and 193,290.56 is: 266,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,709.52 : 414,739.68 = 193,290.56 : x
  2. Step 2: Convert to fraction form
    300,709.52/414,739.68 = 193,290.56/x
  3. Step 3: Cross multiply
    300,709.52x = 414,739.68 × 193,290.56
  4. Step 4: Simplify right side
    300,709.52x = 80,165,265,001.42
  5. Step 5: Solve for x
    x = 80,165,265,001.42/300,709.52
  6. Step 6: Final answer
    x = 266,587.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.